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Finding the Fourth Proportional to 6,590.84, 9,871.14 and 4,212.68

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Solution

The fourth proportional to 6,590.84, 9,871.14 and 4,212.68 is: 6,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.84 : 9,871.14 = 4,212.68 : x
  2. Step 2: Convert to fraction form
    6,590.84/9,871.14 = 4,212.68/x
  3. Step 3: Cross multiply
    6,590.84x = 9,871.14 × 4,212.68
  4. Step 4: Simplify right side
    6,590.84x = 41,583,954.06
  5. Step 5: Solve for x
    x = 41,583,954.06/6,590.84
  6. Step 6: Final answer
    x = 6,309.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.